How to calculate 345 divided by 16 using long division?
Division is a fundamental arithmetic operation where we calculate how many times a number (divisor or denominator) can fit into another number (dividend or numerator). In this case, we are dividing 345 (the dividend) by 16 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 345 divided by 16 in decimal = 21.5625
- 345 divided by 16 in fraction = 345/16
- 345 divided by 16 in percentage = 2,156.25%
What is the Quotient and Remainder of 345 divided by 16?
The quotient is calculated by dividing the dividend by the divisor, and the remainder is what's left over if the division doesn't result in a whole number.
The quotient of 345 divided by 16 is 21, and the remainder is 9. Thus,
345 ÷ 16 = 21 R 9
When you divide Three Hundred And Forty Five by Sixteen, the quotient is Twenty One, and the remainder is Nine.
Let's calculate 345 divided by 16 using long division
Step 1:
1 | 6 | ⟌ | 3 | 4 | 5 |
Step 2:
0 | |||||
1 | 6 | ⟌ | 3 | 4 | 5 |
- | 0 | ||||
3 | 4 |
Step 3:
0 | 2 | ||||
1 | 6 | ⟌ | 3 | 4 | 5 |
- | 0 | ||||
3 | 4 | ||||
- | 3 | 2 | |||
2 |
Step 4:
0 | 2 | ||||
1 | 6 | ⟌ | 3 | 4 | 5 |
- | 0 | ||||
3 | 4 | ||||
- | 3 | 2 | |||
2 | 5 |
Step 5:
0 | 2 | 1 | ||||
1 | 6 | ⟌ | 3 | 4 | 5 | |
- | 0 | |||||
3 | 4 | |||||
- | 3 | 2 | ||||
2 | 5 | |||||
- | 1 | 6 | ||||
9 |
Verdict
The division of 345 by 16 results in a quotient of 21 and a remainder of 9, meaning 16 goes into 345 Twenty One times with 9 left over. Understanding this division process is crucial in both basic arithmetic and real-life applications where division is used, such as in financial calculations, data analysis, and everyday problem-solving.